Answers
Answer:
52
Step-by-step explanation:
4 1/2 x + 2x
Let x = 8
4 1/2 (8) + 2(8)
Change to an improper fraction
9/2(8) +2(8)
36+16
52
Related Questions
at the present time, gerald is eight less than five times his nephews age. seven years ago gerald was 9 times his nephews age.
(A)if g represents geralds age now and n represents his nephews age today. use a system of equations that could be used to model this scenario?
(B)than use the equations to determine algebraically the ages of both Gerald and his nephew.
(C)than determine in how many years Gerald will be three times as old as his nephew?
Answers
What you know about rollin' down in the deep?
When your brain goes numb, you can call that mental freeze
When these people talk too much, put that sh*t in slow motion, yeah
I feel like an astronaut in the ocean, ayy
What you know about rollin' down in the deep?
When your brain goes numb, you can call that mental freeze
When these people talk too much, put that sh*t in slow motion, yeah
I feel like an astronaut in the ocean
The graph of an exponential function passes through (2,−12) and (3,−24). Find the exponential function that describes the graph.
Answers
no fancy math here, just some reasoning with words. I just feel like it
for one step in x-direction the value of the function doubles, so the common factor is 2.
so let's trace it back
(1,-6)
(0, -3)
For an exponential function the y-intercept is the "initial value".
do let's write is as a function
[tex]y = - 3 \times {2}^{x} [/tex]
you could also use the points and plug their numbers into the general formula, but I felt this explanation could give you more understanding, since it's meant to be more intuitive.
hope it helps
You have some marbles. When you make a shape of an equilateral triangle, you either have 4 extra, or you need 28 more to complete the shape. How many marbles do you have? How long is a side of the biggest equalateral triangle that you can make make with your marbles?
Answers
Answer:
You have 500 marbles.
The longest side of the biggest equalateral triangle that you can make with your marbles is 31
Step-by-step explanation:
28 + 4 = 32
So our equation is:
TR(32) - 28
Now find Triangular Number 32: (32 *33)/2=528
528 - 28 = 500
So, we have 500 marbles
Now we need to find the longest side of the biggest equalateral triangle that you can make make with your marbles
Let's go back to 28 + 4 = 32
One row above 32 is 31
So the longest side of the biggest equalateral triangle that you can make with your marbles is 31
Hope this helps!
find f(-2) for f(x)=3•2^x
Answers
Answer:
0.75 or 3/4
Step-by-step explanation:
f(-2) = 3•2^-2
f(-2) = 3•0.25
f(-2) = 0.75 or 3/4
Hope this helps! :)
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 59 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean µ = 59 tons and standard deviation σ = 1.9 ton.a) What is the probability that one car chosen at random will have less than 49.5 tons of coal? b) What is the probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal?
Answers
Answer:
b) What is the probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal? (Round your answer to four decimal places.)
Step-by-step explanation:
Which of the following expressions have a difference of 5? Check all that apply.
VX
0-3-(-8)
-2-3
1-(-4)
07-(-2)
Answers
9514 1404 393
Answer:
A, C
Step-by-step explanation:
A: -3 -(-8) = -3 +8 = 5
B: -2 -3 = -5
C: 1 -(-4) = 1 +4 = 5
D: 7 -(-2) = 7 +2 = 9
__
Differences A and C are 5.
Answer: A: -3- (-8)
B:1 -(-4)
Step-by-step explanation:
in A your subtracting them in B your adding them
help pls
Draw a line segment AB=8cm. Construct angle BAC=angle ABC=60 DEGREE.
Now draw the angular bisector of each angle of angle ABC.
pls help
Answers
Answer:
Step-by-step explanation:
Bisection implies dividing a given segment into equal haves by construction. So that in the given question, angle ABC would be divided into equal parts.
After drawing segment AB to given length, use a compass to construct the required angle ABC. Then use the ends of the arc for the angle to bisect the angle.
The construction to this question is herewith attached to this answer for more clarifications.
is the sum of two rational numbers sometimes zero ture or false?
Answers
Answer:
True.
Step-by-step explana
-4/5 + 4/5 is 0
A bag contains 6 black, 4 blue, and 8 white marbles. What is the probability that a marble drawn from the bag will be white?
a.1/18
b.2/5
c.4/9
d.4/5
Answers
Answer:
C.4/9
Step-by-step explanation:
You add the black marbles, blue marbles, and the white marbles together, which equal 18. Out of the 18 marbles, 8 of them are white so it would be 8/18.
but you have to simplify it. 8 and 18 have 2 as the greatest common factor. 8 divided by 2 is 4 and 18 divided by 2 is 9. Finally its 4/9 since you cant simplify it even more.
If you apply these changes to the linear parent function, f(x) = x, what is the
equation of the new function?
• Vertically compress by a factor of 7.
• Shift up 9 units.
O A. DY) = 7x+9
O B. g(x) = = x+9
O C. () = 7(x-9)
O D. g(x) = + (x+9)
Answers
Answer:
The equation of the new function is [tex]g(x) = 7x + 9[/tex]
Step-by-step explanation:
Vertically compress by a factor of 7.
Vertically compressing a function by a units is the same as:
[tex]g(x) = f(ax)[/tex]
In this question:
[tex]f(x) = x, a = 7[/tex]. So
[tex]g(x) = f(7x) = 7x[/tex]
Shift up 9 units.
Shifting a function up a units is the same thing as adding a to the function. In this case, [tex]a = 9[/tex], and then:
[tex]g(x) = 7x + 9[/tex]
The equation of the new function is [tex]g(x) = 7x + 9[/tex]
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3. (Rockwell hardness is measured on a continuous scale.)a. If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?b. If the acceptable range of hardness is (70-c, 70+c) , for what value of c would 95% of all specimens have acceptable hardness?c. If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten?d. What is the probability that at most eight of ten independently selected specimens have a hardness of less than73.84? [Hint: Y = the number among the ten specimens with hardness less than 73.84 is a binomial variable; what is p?]
Answers
Answer:
a) The probability that a randomly chosen specimen has an acceptable hardness is 0.7938.
b) If the acceptable range of hardness is (70-c, 70+c), then the value of c would 95% of all specimens have an acceptable hardness of 5.88.
c) Expected number of acceptable specimens among the ten is 7.938.
d) Binomial with n = 10 and p = P(X < 73.84)
[tex]p = P(Z <(73.84 - 70) / 3 ) = P(Z < 1.28) = 0.8997\\\\P(X <= 8) = 1 - P(X = 9) - P(X = 10)\\= 0.2650635[/tex]
Step-by-step explanation:
a )
[tex]P(67 < X< 75) = P( (67 - 70) / 3 < X < (75 - 70) / 3 )\\\\= P( - 1 < Z < 1.67) = 0.9525 - 0.1587 = 0.7938[/tex]
b )
[tex]c = 1.96 * 3 = 5.88[/tex] { Since Z = 1.96 for 95% CI refer table.}
c )
Expected number of acceptable specimens among the ten [tex]= 10 * P(67 < X< 75) \\\\= 10 * 0.7938 = 7.938[/tex]
d )
Binomial with n = 10 and p = P(X < 73.84)
[tex]p = P(Z <(73.84 - 70) / 3 ) = P(Z < 1.28) = 0.8997\\\\P(X <= 8) = 1 - P(X = 9) - P(X = 10)\\= 0.2650635[/tex]
When we expand (2x + 1/2)^6, what is the coefficient on the x^4 term?
Answers
Answer: The coefficient before x^4 is 60
Step-by-step explanation:
Hey! So I am not an expert at this, but you have to use the binomial theorem
I have attached of the Pascals Triangle (one shows the row numbering as well)
Basically in a pascal triangle, you add the two numbers above it to get the next number below
As you can see, the rows start from 0 instead of 1
The 6th row contains the numbers 1, 6, 15, 20, 15, 6, 1 which would be the coefficient terms
NOTE: the exponents always add to 6, the first term starts at 6 and decrease it's exponent by 1 each time (6, 5, 4, 3, 2, 1, 0) and the second term increases it's exponent by 1 each time (0, 1, 2, 3, 4, 5, 6)
Using this information the third term from the sixth row (15) would be where it is x^4 (I have circled it on the second image)
It would be 15 × 2^4 × (1/2)^2 = 60
The reason why it is 2^4 and (1/2)^2 is because the third term has the exponents 4 and 2 (bolded on the NOTE) which means that the first term must be put to the power of 4 and the second term must be put to the 2nd power
Sorry for the lousy explanation. I really hope this makes sense! Let me know if this helped :)
What is the slope of the line represented by the equation f(x) = -3x + 7?
A -7
B -3
C 3
D 7
Answers
Answer:
-3
Step-by-step explanation:
in these equations the slope is multiplied by x which is -3 in this one.
Answer:
[tex]-3[/tex]
Step-by-step explanation:
The equation of a line is [tex]y=mx+b[/tex], and m is the gradient which is the slope. Hence, the number with x is the slope, which is [tex]-3[/tex].
Hope that helped.
The moment generating function for health care costs experienced by a policyholder is given as follows:
Mx(t)= (4/4-t)^3
An insurer reimburses the policyholder for 70% of health care costs experienced by the policyholder. Calculate the expected reimbursement by the insurer for a policyholder.
Answers
Answer:
0.525 = 52.5%
Step-by-step explanation:
Moment generating function ( Mx(t) ) = ( 4 / 4-t)^3
Reimbursement by Insurer = 70%
Determine the expected reimbursement by insurer for policyholder
d/dx (Mx(t) ) = d/dt ( 4 / 4-t)^3 = d/dt (1 - t/4 )^-3
= 3/4 ( 1 - t/4 )^-4 = 3/4
as t → 0
Given that the insurer reimburses 70% = 0.7
expected reimbursement = 0.7 * 3/4 = 0.7 * 0.75 = 0.525
construct a scale of A-sharp major on a treble staff in ascending order only
Answers
Answer: In the picture from the basic music theory website's page on a-sharp major scale
Step-by-step explanation: music theory
Chet has $1200 invested in a bank account modeled by the function P(n) = 1200(1.002)
Answers
Answer:
Answer: 3) R(n) = 1200(1.002)n - 100n
Step-by-step explanation:
After n months, which function represents Chet’s net worth, R(n)?
(1) R(n) = 1200(1.002)n + 100n
(2) R(n) = 1200(1.002)12n + 100n
(3) R(n) = 1200(1.002)n - 100n
(4) R(n) = 1200(1.002)12n - 100n
Answer: 3) R(n) = 1200(1.002)n - 100n
Net worth is the amount of his savings minus his debt,
Everything in the problem is in terms of months, so there is no need to multiply the exponent by 12, which would convert n years into months.
The side of an equilateral triangle is 12. Its area is
Select one:
a. 144
b. 72
c. 36 √3
d. 48
Answers
Answer:
area is 1/2bh
in an euqilateral triangle, all sides are equal so base and height are 12
1/2 x 12 x 12
1/2 x 144= 72 (B)
Answer: Choice C. [tex]36\sqrt{3}[/tex]
This is the same as writing 36*sqrt(3)
===================================================
Work Shown:
x = 12 = side length of equilateral triangle
A = area of equilateral triangle
A = 0.25*sqrt(3)*x^2
A = 0.25*sqrt(3)*12^2
A = 0.25*sqrt(3)*144
A = 0.25*144*sqrt(3)
A = 36*sqrt(3) .... answer is choice C
Side note: the area approximates to 62.354 square units.
The table shown gives values of the function y=g(x) for selected values of x.
Answers
Answer: C
Explanation:
A is eliminated because of 3 and 24, 3^2 is 9 and 9 times 3 isnt 24
B is eliminated because of 1 and 6, 2 plus 3 is 5 not 6
C works for all the number sets
D is eliminated because of 1 and 6, again 3 plus 2 is 5 not 6
PLEASE HELP WILL GIVE BRAINLIEST
Answers
Answer:
Check explanation
Step-by-step explanation:
I'll give you my way of solving it and you can figure it out from there.
<CEA = <DEB due to vertical angles
AE = ED due to midpoint theorem
<CAD = <ADB due to alternating angles theorem
thus two triangles congruent due to ASA
A team of researchers wants to determine whether pet owners are generally more satisfied with their lives than non-pet owners. To test their theory, the researchers randomly select 500 pet owners and 500 non-pet owners from several major metropolitan areas in the country. The researchers then interview the individuals, asking them a series of questions. Each response is assessed with a point value that is later translated to a satisfaction indicator. Of the pet owners surveyed, 380 of the 500 were found to be satisfied with their lives, while 336 of the 500 non-pet owners were found to be satisfied.
Would this study be considered an experiment or an observational study?
Answers
Answer:
observational study
Step-by-step explanation:
giving brainliest to whomever answers correctly!
Answers
Answer:
B: A systematic random sample
Step-by-step explanation:
Systematic sampling is a type of probability sampling in which members of a larger population are chosen at random from a larger population but at a fixed, periodic interval. This interval, also known as the sampling interval, is calculated by dividing the population size by the sample size desired. Despite the fact that the sample population is chosen in advance, systematic sampling is still considered random if the periodic interval is set in advance and the starting point is chosen at random.
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Please help! What is the domain of the function shown in the graph?
Answers
Answer:
nnmb cgchmfxmgfmv vb , mnio qrstuvwxyz
abcdefghijklmnoprstuvxxyz
Step-by-step explanation:
now i know my abcs next time wont you sing with me
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answers
Answer:
Step-by-step explanation:
Wage = rate / hr * the number of hours worked.
Wage = ?
rate = 15.45
time = 29.25 hours
Wage = 15.45 * 29.25
Wage = 451.91
Factor this polynomial.
.-2x2 - 7x-3
Answers
Answer:
Its B
Step-by-step explanation:
Mark as Brainllest!!
Find the difference of (4.2x10^3)-(2.7x10^3)
Show work!
Answers
Step-by-step explanation:
Is it helpful ?
plz let me know
I need help I’ll give u brainlest
Answers
Answer:
[tex]150[/tex] cubic centimeters
Step-by-step explanation:
Volume for triangular prism is [tex]V=\frac{1}{2} bhl[/tex]
[tex]V=\frac{1}{2}(6)(5)(10)[/tex]
[tex]V=\frac{1}{2} (300)[/tex]
[tex]V=150[/tex]
Hope this helps
Answer:
150 cubic centimeters
Step-by-step explanation:
The formula for the volume of a Triangular prism:
A=1/2*b*h*l
plug everything in
1/2*6*5*10=150 Cubic centimeters
Which is the graph of f(x) = 2 (4)?
5
40.4)
404)
4
(4,4)
3
3
3 2
2
2
2
(2.1)
6,2)
1
5 -4 -3 -2 -14
1
3
4
-5 4 -3 -2 -14
234
-5 6 -3 -2 -14
2
3
4
5
X
-2
-2
نا دیا
-3
-3
4
W4
-5
5
Tu
5
4
(
24)
Answers
Answer:
The Third one
Step-by-step explanation:
Your Welcome :)
Graph of the function is attached below.
Correct option is D.
What is exponential function?As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:
Definition of exponential function
In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant called the base of the function, which must be greater than 0.
Given, exponential function
f(x) = (1/4)4ˣ
exponential function is defined for x∈R
Putting x = 0
f(0) = (1/4)4⁰
f(0) = 1/4
Point on curve is (0,1/4)
Putting x = 1
f(1) = (1/4)4¹
f(1) = (1/4)4
f(1) = 1
Point on curve is (1,1)
Putting x = 2
f(2) = (1/4)4²
f(2) = (1/4)16
f(2) = 4
Point on curve is (2,4)
Putting x = 3
f(3) = (1/4)4³
f(3) = (1/4)64
f(3) = 16
Point on curve is (3,16)
Point (0, 1/4), (1, 1), (2, 4), (3, 16) can be used to draw graph of the function.
Hence, graph of the function is drawn as follows.
Learn more about exponential function here:
https://brainly.com/question/14355665
#SPJ7
Which answer describes the pattern in this sequence?
2, 1, 12, 14, ...
multiply by 2
subtract 1
add 12
multiply by 12
Answers
Ms.James shared 5/8 of the candies she had in a bag and had 15 left.How many candies did she have before sharing?
Answers
Answer:
40
Step-by-step explanation:
If you take 15, and divide it by the 3 out of the 3/8 left, you get 5. You then multiply 5 by 8 to get the full amount of candies she had before sharing, 40.
I hope this helped!
Thanks!
Your friend in answering,
~Steve
Answer:
40.
Step-by-step explanation:
If 15 candies are the rest of 3/8, then the total candies were 40.
Evaluate: 11c+5a-8 for a=4 and c=-6
Answers
Answer:
- 54
Step-by-step explanation:
11 c + 5 a - 8
11 × -6 + 5 × 4 - 8 (given :- a = 4 and b = -6)
- 66 + 20 - 8
- 54
